Transport equations for elastic and other waves in random media 论文

1996Wave Motion引用 565
Numerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringMicrowave Imaging and Scattering Analysis

详细信息

发表期刊/会议
Wave Motion
发表日期
1996-12-01
发表年份
1996

关键词

Numerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringMicrowave Imaging and Scattering Analysis

摘要

We derive and analyze transport equations for the energy density of waves of any kind in a random medium. The equations take account of nonuniformities of the background medium, scattering by random inhomogeneities, polarization effects, coupling of different types of waves, etc. We also show that diffusive behavior occurs on long time and distance scales and we determine the diffusion coefficients. The results are specialized to acoustic, electromagnetic, and elastic waves. The analysis is based on the governing equations of motion and uses the Wigner distribution.